theorem Th23: :: MESFUNC8:23

for X being non empty set
for S being SigmaField of X
for f being with_the_same_dom Functional_Sequence of X,ExtREAL
for E being Element of S st dom (f . 0) = E & ( for n being Nat holds f . n is E -measurable ) holds
lim_sup f is E -measurable